Abstract

Abstract. To describe dynamic processes in an acoustic (mechanical) metamaterial, there are proposed models that are a one-dimensional chain containing the same masses connected by linearly elastic (or nonlinearly elastic) elements (springs) with the same stiffness. In this case, it is assumed that each mass contains inside itself a series connection of another mass and an elastic element or viscous element (damper).

Highlights

  • An adequate description of the physical and mechanical properties of metamaterials within the framework of the classical theory of elasticity is impossible

  • Nonlinear elastic “mass-in-mass” chain In [3], to describe the dynamic properties of a metamaterial, a one-dimensional chain was considered containing the same masses mm1 connected by elastic elements with the same stiffness kk1, while each mass inside itself contained another mass mm2 and one more elastic element - a spring with stiffness kk2 (Fig. 1)

  • Let us generalize the model [3] by taking into account the quadratic nonlinearity of the external and internal elastic elements

Read more

Summary

Introduction

An adequate description of the physical and mechanical properties of metamaterials within the framework of the classical theory of elasticity is impossible. Nonlinear elastic “mass-in-mass” chain In [3], to describe the dynamic properties of a metamaterial, a one-dimensional chain was considered containing the same masses mm1 connected by elastic elements (springs) with the same stiffness kk1, while each mass inside itself contained another mass mm2 and one more elastic element - a spring with stiffness kk2 (Fig. 1). Let us generalize the model [3] by taking into account the quadratic nonlinearity of the external and internal elastic elements.

Results
Conclusion

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.